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Problem 6-5 As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation...

Problem 6-5

As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to

achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows:

Task          Duration (minutes)        Immediate Predecessor

a                0.2                                                  -

b                0.4                                                  a

c                0.2                                                  b

d                0.4                                                  -

e                1.2                                                  d

f                 1.2                                                  c

g                1.0                                                  e, f



b. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time. (Round your answers to 1 decimal place.)

  

 

 

The minimum cycle time

1.2 Correct minutes per unit

The maximum cycle time

4.6 Correct minutes per unit

Calculated cycle time

2 Correct minutes per unit

    

c. Determine the minimum number of stations needed. (Round your answer to the next whole number.)

 

Minimum number of stations          3 Correct 

 

d. Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.

   

Work stations

Following Tasks

I

A, B,D,C Correct

II

E Correct

III

F Correct

IV

G Correct

    

e. Compute the percentage of idle time for the assignment in part d. Use the actual bottleneck cycle time in your calculation. (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

  

Percentage of idle time           ____ %

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